Question

(a) Solve the system of linear equations:
x + y = 14
X-y=6​

Answer 1

x = 10, y = 4

Explanation:

One way of doing this is by doing the substitution method

To do this you first need to put x on one side (x = y + 6)

Now where there is an x in the first equation you put that instead

(y + 6) + y = 14

After this, you solve for y (y = 4)

Lastly, you put the 4 where there is a y and then solve for x

x - 4 = 6

x = 10

Answer 2

x=10,y =4

Explanation:

x + y = 14

X-y=6​

Add the two equations together to eliminate y

x + y = 14

X-y=6​

-----------------------

2x +0y = 20

Divide by 2

2x/2 =20/2

x = 10

Then find y

x+y = 14

10+y =14

Subtract 10 from each side

10+y-10=14-10

y =4